Spectral Functions for Gauge Fields in Rindler-Like Spaces

TL;DR

This paper investigates the spectral properties of gauge fields in Rindler-like spaces, focusing on conformal deformations, spectral densities, and zeta functions for p-forms in hyperbolic manifolds.

Contribution

It provides new insights into the spectral analysis of gauge fields in deformed Rindler spaces and computes spectral densities and zeta functions for p-forms in hyperbolic geometries.

Findings

Spectral densities of continuum spectrum are derived.

Spectral zeta functions for abelian p-forms are calculated.

Analysis of conformal deformations impacts spectral properties.

Abstract

A class of conformal deformations of Rindler-like spaces is analyzed. We study the spectral properties of the Laplace operators associated with $p-$forms and acting in these spaces and in their spatial sections. The spectral density of continuum spectrum and the spectral zeta functions related to the abelian $p-$forms in real compact hyperbolic manifolds are obtained.